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Physics - Circular Motion Question with Solution | TestHub

PhysicsCircular MotionMiscellaneousEasy2 minPYQ_2001

PhysicsEasysingle choice

A particle is revolving in a circle of radius $R$ . If the force acting on it is inversely proportional to $R$ , then the time period is proportional to

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Solution:

Given that the force is inversely proportional to $R$ i.e. $F \propto \frac{1}{R}$ or $F = \frac{k}{R}$ or $m R ω^{2} = \frac{k}{R}$ or $ω^{2} = \frac{k}{m R ^{2}}$ $∴ ω^{2} \propto \frac{1}{R ^{2}}$ $\Rightarrow \Rightarrow \Rightarrow \frac{2 π}{T} \propto \frac{1}{R} T ω \propto R \propto \frac{1}{R}$

Stream:AIIMSSubject:PhysicsTopic:Circular MotionSubtopic:Miscellaneous

⏱ 2mℹ️ Source: PYQ_2001

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